>tfw I can actually solve all this
>tfw it covers almost all my knowledge of mathematics
What school is this for anyways?
It's an anonymous board for discussing about science AND mathematics - topics which "members" rarely focus on, because they're either too busy masturbating their egos - or - because they're too autistic to do anything aside from filling out exam papers. New ideas like the infamous "meme" drive, are suppressed by people who don't really like to discuss about anything.
So would you be so kind and explain to low lives like myself; what purpose does this exam of yours serve? The board already has a wiki dedicated to learning relevant knowledge and very few people use it. We don't need an entrance exam. We need a change in the attitude.
You have to pick up the soap, OP
Calculus, Matrix Algebra, and Vector Calculus are the bare minimum math requirements all math, science, and engineering students. Ideally there should be ODEs, PDEs, Complex Variables, and some Fourier Analysis too.
>literally first semester undergrad homework